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Dr Ben Mestel

Photograph of Ben Mestel

Profile summary

Professional biography

I am a British Mathematician in the School of Mathematics and Statistics at The Open University, the UK’s distance-learning university, where my principal role is Director of the Open University’s Mathematics MSc programme.

A graduate of the University of Bristol and the University of Warwick, I am a former Deputy Director of the Isaac Newton Institute for Mathematical Sciences in Cambridge, and have taught at the University of Exeter, the University of Stirling and King’s College, Cambridge.

Research interests

My mathematical research is in nonlinear dynamical systems and its applications, with particular interests in renormalization theory and applications in energy systems.  Please see my personal website

Teaching interests

I have extensive teaching experience in many areas of pure and applied mathematics. Please see my personal website


Simulating the GB power system frequency during underfrequency events 2018–19 (2023-03-10)
Cooke, Christian and Mestel, Benjamin
Energy Systems ((Early Access))

A computer-assisted proof of dynamo growth in the stretch-fold-shear map (2023)
Pramy, F. A.; Mestel, B. D. and Gilbert, A. D.
Dynamical Systems, 38(1) (pp. 102-120)

A Practical Algorithm To Detect Superexponential Behavior In Financial Asset Price Returns (2022-02)
Lynch, Christopher and Mestel, Benjamin
International Journal of Theoretical and Applied Finance, 25, Article 2250026(6)

Using STACK to support student learning at masters level: a case study (2020-06)
Lowe, T. W. and Mestel, B. D.
Teaching Mathematics and its Applications: An International Journal of the IMA, 39(2) (pp. 61-70)

Low Carbon Futures: confronting electricity challenges on island systems (2019-10)
Matthew, George; Nuttall, William; Mestel, Benjamin and Dooley, Laurence
Technological Forecasting and Social Change, 147 (pp. 36-50)

Change-Point Analysis of Asset Price Bubbles with Power-Law Hazard Function (2019)
Lynch, Christopher and Mestel, Benjamin
International Journal of Theoretical and Applied Finance, 22, Article 1950033(7)

A dynamic simulation of low-carbon policy influences on endogenous electricity demand in an isolated island system (2017-10-31)
Matthew, George Jr.; Nuttall, William J.; Mestel, Ben and Dooley, Laurence S.
Energy Policy, 109 (pp. 121-131)

Logistic model for stock market bubbles and anti-bubbles (2017-08-03)
Lynch, Christopher and Mestel, Benjamin
International Journal of Theoretical and Applied Finance, 20, Article 1750038(6)

Optimal battery charge/discharge strategies for prosumers and suppliers (2017-08)
Mestel, B. D.
Energy Systems, 8(3) (pp. 511-523)

Perceptions of Online Tutorials for Distance Learning in Mathematics and Computing (2016-07-22)
Lowe, Tim; Mestel, Ben and Williams, Gareth
Research in Learning Technology, 24, Article 30630

Growth of the Sudler product of sines at the golden rotation number (2016-01-01)
Verschueren, Paul and Mestel, Ben
Journal of Mathematical Analysis and Applications, 433(1) (pp. 200-226)

Master’s students’ perceptions of Microsoft Word for mathematical typesetting (2015-06)
Loch, Birgit; Lowe, Tim W. and Mestel, Ben D.
Teaching Mathematics and its Applications, 34(2) (pp. 91-101)

Renormalization of fluctuations for a generalized Harper equation for periodic continued fractions (2015)
Hulton, S. and Mestel, B. D.
Dynamical Systems, 30(1) (pp. 85-121)

A contraction-mapping proof of Koenigs’ theorem (2014-09)
Mestel, Benjamin D.
Aequationes Mathematicae, 88(1-2) (pp. 35-38)

Do screencasts help to revise prerequisite mathematics? An investigation of student performance and perception (2014)
Loch, Birgit; Jordan, Camilla R.; Lowe, Tim. W. and Mestel, Ben. D.
International Journal of Mathematical Education in Science and Technology, 45(2) (pp. 256-268)

Fixed points of composition sum operators (2014)
Verschueren, Paul and Mestel, Ben D.
Journal of Difference Equations and Applications, 20(8) (pp. 1152-1168)

A short proof of the existence of universal functions (2013)
Mestel, Benjamin D.
Real Analysis Exchange, 38(2) (pp. 425-430)

On functional equations associated with the renormalization of non-commuting circle mappings (2007)
Christodoulides, Y. T. and Mestel, B. D.
Journal of Physics A: Mathematical and Theoretical, 40(39) (pp. 11877-11897)

Golden mean renormalization for a generalized Harper equation: The Ketoja–Satija orchid (2004-12)
Mestel, B. D. and Osbaldestin, A. H.
Journal of Mathematical Physics, 45(12) (pp. 5042-5075)

A garden of orchids: a generalized Harper equation at quadratic irrational frequencies (2004-10)
Mestel, B. D. and Osbaldestin, A. H.
Journal of Physics A: Mathematical and General, 37(39) (pp. 9071-9086)

Bounds on the unstable eigenvalue for the asymmetric renormalization operator for period doubling (2004-09)
Mestel, B. D.; Osbaldestin, A. H. and Tsygvintsev, A. V.
Communications in Mathematical Physics, 250(2) (pp. 241-257)

Renormalization of correlations in a quasiperiodically forced two-level system: quadratic irrationals (2004-09)
Mestel, B. D. and Osbaldestin, A. H.
Journal of Physics A: Mathematical and General, 37(38) (pp. 8969-8989)

Renewable Integration in Island Electricity Systems – A System Dynamics Assessment (2016-01-26)
Matthew, George; Nuttall, William J.; Mestel, Ben; Dooley, Laurence and Ferrão, Paulo Manuel
In : 2nd Asia-Pacific Conference on Complex Systems Design & Management (24-26 Feb 2016, Singapore) (pp. 107-119)

Insights into the Thermal Generation Futures of Isolated Island Electricity Systems Using System Dynamics (2015-08)
Matthew, George Jr. S.; Nuttall, William; Mestel, Ben and Dooley, Laurence
In : Proceedings of the 33rd International Conference of the System Dynamics Society (19-23 Jul 2015, Cambridge, Massachusetts, USA)

Electronic marking of mathematics assignments using Microsoft Word 2007 (2008-07)
Lowe, Tim; Mestel, Ben and Arrowsmith, Gaynor
In : 12th International CAA Conference: Research into e-Assessment (8-9 Jul 2008, Loughborough University, UK)